6 Imagine a game show on television where one lucky contestant is presented with three upside-downbuckets that are numbered 1, 2, and 3. Under one of the buckets is a five-ounce gold bar. Under each ofthe other two buckets is a lump of coal. After the game ends, the contestant receives what is under his orher bucket.The host of the game show asks the contestant to choose one of the three buckets. After the contestantmakes a choice, the host lifts up one of the remaining two buckets to reveal a lump of coal under it. Atthis point, only two buckets remain uncovered: the bucket that the contestant originally chose and thebucket that was not uncovered by the host.The host subsequently asks the contestant if he or she would like to keep the original bucket or changebuckets to the only other bucket remaining.1. If the contestant does not change buckets and stays with the original bucket chosen, what is theprobability that the contestant will win the five-ounce gold bar? ( Select)2. If the contestant does not change buckets and stays with the original bucket chosen, what is theprobability that the contestant will win a lump of coal? (Select]3. If the contestant changes buckets from the original bucket to the other bucket remaining, what isthe probability that the contestant will win the five-ounce gold bar?[ Select )4. If the contestant changes buckets from the original bucket to the other bucket remaining, what isthe probability that the contestant will win a lump of coal? ISelect]

In the game show, there are three upside-down buckets that are numbered 1, 2, and 3. Under one of…

Imagine a game show on television where one lucky contestant is presented with three upside-down buckets that are numbered 1, 2, and 3. Under one of the buckets is a five-ounce gold bar. Under each of the other two buckets is a lump of coal. After the game ends, the contestant receives what is under his or her bucket. The host of the game show asks the contestant to choose one of the three buckets. After the contestant makes a choice, the host lifts up one of the remaining two buckets to reveal a lump of coal under it. At this point, only two buckets remain uncovered: the bucket that the contestant originally chose and the bucket that was not uncovered by the host.